Question

Find the value of k, so that the following system of equations has a non-zero solution:
3x + 5y = 0; kx + 10y = 0.

Answer 1

3x +5y = 0

kx + 10y = 0

Condition for equation having non zero solution

a1/a2 = b1/b2 = c1/c2

3/k =5/10

3/k=1/2

k=6